Question

A 50-gallon tank initially contains 10 gallons of fresh water. At t = 0, a brine...

A 50-gallon tank initially contains 10 gallons of fresh water. At t = 0, a brine solution containing 2 pounds of salt per gallon is poured into the tank at a rate of 5 gal/min. The well-stirred mixture drains from the tank at a rate of 3 gal/min. Find the amount of salt in the tank at the moment of overflow. Please use differential equations to solve this problem and please put the answer in decimal form. I did this problem and got 124.8 pounds of salt as my answer and want to check if this is right.

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